Lens systems and methods for uniform illumination
The present disclosure is directed to a lens system having a LED, a first lens and a second lens that are aligned along a central optical axis, a housing, and an aperture positioned within the housing, which enables the lens system to provide an illuminated plane having a selected illumination profile in a region of interest, namely an illumination profile that is a uniform or flat field. The present first and second lenses are selectively paired and positioned in the housing to project a light output that is parallel or non-divergent. In another aspect, the present disclosure is directed to a method that generates light from a light source that passes through a first lens and then a second lens, and determines a location of an illuminated plane that is positioned a specified distance from a proximal surface of the second lens to produce a selected illumination profile.
Various aspects of this disclosure relate to methods of uniformly illuminating a sample plane. Various aspects of this disclosure may also relate to lens systems configured to perform the methods.
BACKGROUNDMany applications for lens and optical systems require illuminating a plane or surface (which may also be referred to here as a “screen” and a “sample plane”) with uniform light. Examples of such applications may include microscopy, real-time polymerase chain reaction (PCR), display projection, stage lighting, general lighting, and even handheld flashlights.
For biological applications using digital PCR, an array of reaction chambers may contain biological samples, e.g., deoxyribonucleic acids (DNA), and a fluorescent dye. In most cases, it may be desirable to have “consistent” or uniform fluorescent signals, i.e., equal fluorescence when illuminated by the instrument's source, which may be produced when equal concentrations of dye are present in each reaction chamber. However, due to the fundamental nature of light, as it is emitted from its source and travels onto a screen, the resulting illumination distribution is often non-uniform.
A common method of illumination uses a lens or mirror to focus light from a light source (also referred to here as a “source”) and project the source onto the screen; this is commonly called “critical illumination”. In critical illumination, if the source's structure provides non-uniform brightness across its surface, there is a greater possibility that a non-uniform illumination may be shown at the screen, i.e., what is observed at the screen may be an image of the source. For example, if the light source is a tungsten bulb, its filament may be observed on the screen as an undesirable “artifact”, which would be problematic for the accurate projection of, for example, a portrait or painting. Similarly, in microscopy, the observations of cells should be free of artifacts projected onto the sample plane and superimposed onto the cells from a non-uniform source.
In a method of illumination, a light source may be projected by a first lens onto a second lens, i.e., a spherical lens, and the second lens projects an illumination profile that may display no visible structural non-uniformities of the source, even if those structural non-uniformities exist at the source, and the illumination at the screen is then said to be “homogeneous”. However, if the source is small, e.g., a LED whose size is less than half of the intended area of illumination, then the illumination at the screen would generally possess a “domed-shape” profile. In other words, the center of the screen would be the brightest, and the corners would be generally darker, i.e., a gradual darkening moving from the center towards the edges, which is also undesirable.
SUMMARYVarious embodiments may provide a lens system. The lens system may include a LED, a first lens and a second lens that are aligned along a central optical axis, a housing, and an aperture positioned within the housing, for which the lens system provides an illuminated plane having a selected illumination profile in a region of interest. In an aspect, the first and second lenses are selectively paired and positioned in the housing to project a light output that is parallel or non-divergent, and the selected illumination profile is a uniform or flat field.
Various embodiments may provide a method of illuminating a sample plane. The method may include providing a light source having a selected size and power, providing a first lens and a second lens that are aligned along a central optical axis and positioned at a pre-determined distance from the light source, for which the first and second lenses are selectively paired, based on their physical and optical characteristics, to project a light output that is parallel or non-divergent, and generating light from the light source that passes through the first lens and then the second lens, and thereafter, determining a location of an illuminated plane, for which the illumination plane is positioned at a specified distance from a proximal surface of the second lens to produce a selected illumination profile.
Various embodiments may further provide a lens system. The lens system may include a light source, a first lens and a second lens that are selectively paired to project a light output that is parallel or non-divergent, for which the lens system provides an illuminated plane having a selected illumination profile in a region of interest, and a housing. In an aspect, the lens system may also have an aperture positioned within the housing, and the light source may include a reflective diffuser and an external light source.
In the drawings, like reference characters generally refer to the same parts throughout the different views. The drawings are not necessarily to scale, emphasis instead generally being placed upon illustrating the principles of the present disclosure. The dimensions of the various features or elements may be arbitrarily expanded or reduced for clarity. In the following description, various aspects of the present disclosure are described with reference to the following drawings, in which:
The following detailed description refers to the accompanying drawings that show, by way of illustration, specific details, and aspects in which the present disclosure may be practiced. These aspects are described in sufficient detail to enable those skilled in the art to practice the present disclosure. Various aspects are provided for devices, and various aspects are provided for methods. It will be understood that the basic properties of the devices also hold for the methods and vice versa. Other aspects may be utilized and structural, and logical changes may be made without departing from the scope of the present disclosure. The various aspects are not necessarily mutually exclusive, as some aspects can be combined with one or more other aspects to form new aspects.
The present disclosure provides a lens system that is able to provide an illumination profile that is a uniform or flat field (a.k.a “top hat” profile), at a determined screen location, as well as other profiles using a calibrated two lens setup. The two lenses of the lens system should provide light or output rays that are generally parallel or non-divergent.
The technical advantages of the present disclosure include, but are not limited to:
-
- (i) providing a lens system that produces a uniform or flat illumination profile;
- (ii) providing a method for designing a lens system that may alone, or in combination with utility lenses, produce a uniform or flat illumination profile; and
- (iii) providing a lens system that may be provided in a modular package/structure for use with a variety of applications.
To more readily understand and put into practical effect the present lens system configuration and methods for providing a uniform or flat illumination profile, which may be used for improving optical systems, particular aspects will now be described by way of examples provided in the drawings that are not intended as limitations. The advantages and features of the aspects herein disclosed will be apparent through reference to the following descriptions relating to the accompanying drawings. Furthermore, it is to be understood that the features of the various aspects described herein are not mutually exclusive and can exist in various combinations and permutations. For the sake of brevity, duplicate descriptions of features and properties may be omitted.
In addition, as shown in
Finally, as shown in
As used in this disclosure, the terms “global” and “local” may be useful descriptions for non-uniformity/uniformity illumination profiles at the screen when different methods of illumination are employed. In addition, the illumination profile at a screen is often called the “irradiance distribution”, which is the optical flux per unit area (in units Watts/cm2) at spatial locations across the screen.
According to an aspect of the present disclosure,
In
In an aspect shown in
It should be understood that for any plane of observation beyond the second lens 202, there is a region of interest (ROI) where a screen may be located. The ROI's maximum diameter (“Max ROI”) may be less than or equal to Max ϕ. Hence, ϕ controls the ROI diameter. When the aperture's diameter is reduced, then ϕ<Max ϕ, which yields a reduced ROI diameter.
In another aspect, the angular intensity of the LED 203 rays will typically be symmetrical about an optic axis ax. The optic axis ax may be defined by a middle ray that is orthogonal to a position plane of the LED 203 and centered to the LED 203. A light ray from the LED 203 may be designated as a “marginal ray”, which will be defined by the ray at angle θ from the optical axis ax that is subtended by half of the aperture's maximum diameter Max ϕ. The value for θ is typically less than or equal to 45 degrees, depending on the value for the distance z1.
The LED 203 may be, for example, circular, square, or rectangular-shaped. It is preferred that a diameter (if circular) or diagonal (if square or rectangular) be less than 1/10th (i.e., one-tenth size) that of Max ϕ (as shown in
It is within the scope of the present disclosure for a lens system to not have an aperture. In the absence of an aperture, one of the diameters of the first lens 201 or second lens 202 provides a “virtual” or effective aperture. Hence, there is no requirement to mount an aperture at the plane of observation to limit the irradiance distribution at the screen.
Using these above parameters, it is possible to define an irradiance ratio Q′ given by:
The irradiance ratio Q′ represents the ratio of the irradiance in the annular area enclosed by the difference h1′−h2′ to the irradiance in the circular area of radial height ho′ at plane Sb. In Eq. 1, the symbol “x” represents a scalar product operation.
It is also possible to define an irradiance ratio Q given by:
In Eq. 2, a parameter E may be the irradiance in the annular area enclosed by the difference h1−h2 at the plane p1 at the left surface of the first lens 201, and Eo is the irradiance in the circular area of radial height ho at a plane directly to the left surface of Lens 1.
For performing the present simulations, the parameters E and Eo are the irradiances contributed by a LED near the edge and center of the aperture, respectively. For any LED, when E≠Eo, then Q≠1. Conversely, since the present lens system produces a top hat profile at plane Sb, then Q′ is approximately equal to 1. Accordingly, there is the property of an inverse relationship between Q′ and Q—if Q≠1, then Q′ is approximately equal to 1, while if Q is approximately equal to 1, then Q′≠1. In particular, once Q has been determined (e.g., from the LED's datasheet), the present disclosure yields Q′ approximately equal to 1 when Q≠1, and it yields Q′ approximately equal to 1/Q when the LED is replaced by a source that illuminates the aperture uniformly. This inverse property is helpful in the process of designing and analyzing a present lens system using, for example, an optical design program.
In
The illumination profiles may also be useful for shaping the illumination profiles for different optical systems by “compensating” for variations in their LED's angular intensity. For example, if the LED's angular intensity is too intense at the center, then a screen placed at a distance greater than d may reduce the peak intensity at the center, thereby flattening the irradiance distribution and creating a top hat profile. If the LED's angular intensity has a minimum at the center, then the screen may be mounted at a distance smaller than d in order to bring up the center irradiance. Further, the ability to vary the distance d to the plane of observation enables compensating/correcting for any aberrations in any auxiliary lens or lenses used with the present lens system.
Among the parameter used, a parameter F may be the effective focal length (EFL) of the present lens system having first and second lenses, for which the absolute value of F is typically greater than or equal to Max ϕ, i.w., i.e., |F|≥Max ϕ, and Max ϕ may be provided by a marginal ray or an aperture's maximum diameter. In addition, a parameter f1 may be the EFL of a first lens, for which f1 typically possesses a value greater than z, and a parameter f2 may be the EFL of a second lens, for which f2 may be determined according to the formula for thin lenses, i.e., 1/F=(1/f1)+(1/f2). Further, parameters n1 and n2 may be the refractive index (ref. index) of the first lens and the second lens, respectively, for which n1>1 and n2>1. The operations are generally as follows:
The operation 501 may be directed to selecting an ROI size, providing a Max ϕ≤Max ROI size.
The operation 502 may be directed to selecting an appropriate LED size< 1/10th of Max ϕ.
The operation 503 may be directed to applying F and θ values and let z=Max ϕ divided by (2×tan θ).
The operation 504 may be directed to selecting f1>z and let z2 be a variable, and provide a f2 value.
The operation 505 may be directed to optimizing the z2, d, lens radii of curvatures, center thicknesses and reference index parameters.
The operation 506 may be directed to obtaining irradiance measurements/profiles, which may be performed iteratively with operation 507.
The operation 507 may be directed to calibrating the d parameters to obtain the desired profile(s). When the desired profiles are obtained, the results from method 500 may be used to produce a present lens system based on optimized parameters.
According to the present disclosure, as generally configured as shown in
It should be understood that the “wavy” appearance of the simulated profiles is “ray tracing noise”, due to the stochastic nature of the ray tracing feature of an optical design program, which simulates the production of a finite number of rays (approximately 40,000,000 rays). If the number of rays is increased, a simulation would show less tracing noise.
In a present system, as generally shown in
According to this aspect, the parameters for the lens system 800 may have a distance z1 approximately equal to 30 mm, a Max ϕ approximately equal to 22 mm, the first lens 801 may have a radius of curvature R1 approximately equal to 51.68 mm (on its right surface), center thickness approximately equal to 4.5 mm, and a diameter approximately equal to 35 mm, and the second lens 802 may have a radius of curvature R2 approximately equal to 31.03 mm (on its left surface), center thickness approximately equal to 9.31 mm, and a diameter approximately equal to 40 mm. The space z2 between the vertices of the first lens 801 and second lens 802 may be approximately 0.25 mm. The lens system 800 may have an EFL of approximately 37.465 mm. In addition, the first lens 801 and second lens 802 may have refractive indexes n1 and n2, respectively, approximately equal to 1.5168. In addition, the LED 803 may have a square surface with dimensions 1 mm×1 mm, and emits rays at a 554 nm wavelength. The LED 803's angular intensity is Lambertian, with Q approximately equal to 0.81323. The distance d to plane Sb is approximately 17.5 mm. The distance between planes Sa and St is approximately 8.75 mm, and the distance between planes Sb and Sc is also approximately 8.75 mm.
In another aspect, when the aperture 805 is uniformly filled with light rays, based on computations in an optical design program, an h1 approximately equal to 11 mm, an h2 approximately equal to 8.8 mm, a ho approximately equal to 2.2 mm, an h1′ approximately equal to 12.33783 mm, an h2′ approximately equal to 10.09543 mm, and an h0′ approximately equal to 2.62366 mm. Applying Eq. 1 above, a Q′ may be approximately equal to 1.23155, i.e., 1/0.81198. Accordingly, the design for lens system 800 may meet the specifications for producing a top hat profile at plane Sb.
For example, if a first lens has a spherical shape on its left surface and a spherical shape on its right surface, its radii of curvatures may be given by R11 and R12, respectively. The first lens parameters may include a diameter being set as D1 and the absolute values for R11 and R12 as |R11| and |R12|, respectively. Accordingly, for any LED with a symmetric angular output intensity, R11 and R12 may be specified by (D1)/2<|R11|≤ Infinity, and (D1)/2<|R12|<Infinity. Similarly, if a second lens has a spherical shape on its left surface, and a spherical shape on its right surface, its radii of curvatures of the left and right surfaces may be given by R21 and R22, respectively. The second lens parameters may include a diameter being set as D2, and the absolute values for R21 and R22 be |R21| and |R22|, respectively. Accordingly, for any LED with a symmetric angular output intensity, R21 and R22 may be specified by: (D1)/2<|R21|≤ Infinity, and (D1)/2<|R22|≤ Infinity.
It should be understood that the lens specifications provided in this disclosure are intended to show that a first lens and a second lens may possess a range radius of curvatures that may be less than or equal to infinity, and greater than half their lens diameters. When a surface has an infinite radius of curvature, it means that the surface is planar or “plano”. Hence, a lens that has a planar surface on one side and a spherical surface on the other side may be called a plano-convex if the spherical surface is convex, or plano-concave if the spherical surface is concave.
In addition, a present lens system may be integrated with a projection lens that projects the top hat irradiance distribution (which may be located at about 17 mm from a pair of lenses (for example, as shown in
It is within the scope of the present disclosure to vary the distance d to the plane of observation to compensate/correct for aberrations in any auxiliary lens or lenses in an optical system using the present lens system. The auxiliary lenses may be, for example, a projection lens, a microscope objective lens, a telecentric relay lens, or any other lens. Correction for aberrations of the auxiliary lens enables an optical system to maintain a top hat irradiance distribution at a secondary plane of observation, as shown in
In this aspect, a LED 1803 may be mounted at a tilt angle θt, which may be between 0 degrees and 90 degrees, relative to an optic axis ax. This enables an irradiance distribution at planes Sa, Sb, and Sc (and beyond) to become asymmetric such that its peak is located anywhere between y=0 and y=w. In
For the case when a screen is tilted at the plane of observation, resulting in an asymmetric irradiance profile when a beam from the present disclosure provides top hat illumination on the screen. In this case, by tilting the LED in the opposite rotational direction to the screen, the combined asymmetric irradiance profile from the LED and the oppositely asymmetric profile contributed by the tilted screen can correct each other's asymmetry and produce a top hat irradiance distribution at the screen.
In addition, several external light sources may be mounted about the optic axis ax, each pointing their beams onto a common location on the surface of the reflective diffuser 1909. Scattered light from the reflective diffuser 1909 may be captured by lenses 1901 and 1902, which are positioned on the optic axis ax, to produce a top hat irradiance distribution at a screen located at the plane labeled Sb. The external light sources 1903a and 1903b may have the same wavelength or different wavelengths.
It should be understood that an aperture (not shown) may be included in the present lens system 1900 according to the present disclosure. Such aperture may be positioned between the reflective diffuser 1909 and the first lens 1901.
In another embodiment of the present disclosure, more lenses may be included in the design of the present disclosure. For example, a third lens or “Lens 3” may be located to the right of Lens 2. A fourth lens or “Lens 4” may be located to the right of Lens 3, and so on beyond Lens 4. In such cases, the aperture may be located anywhere between lenses, or to the right of the right-most lens.
It will be understood that any property described herein for a particular configuration and method for producing a uniform irradiation profile may also hold for any optical system using the lens system described herein. It will also be understood that any property described herein for a specific method may hold for any of the methods described herein. Furthermore, it will be understood that for any lens system and the methods described herein, not necessarily all the components or operations described will be shown in the accompanying drawings or method, but only some (not all) components or operations may be disclosed.
The term “comprising” shall be understood to have a broad meaning similar to the term “including” and will be understood to imply the inclusion of a stated integer or operation or group of integers or operations but not the exclusion of any other integer or operation or group of integers or operations. This definition also applies to variations on the term “comprising” such as “comprise” and “comprises”.
The term “coupled” (or “connected”) herein may be understood as electrically coupled or as mechanically coupled, e.g., attached or fixed or attached, or just in contact without any fixation, and it will be understood that both direct coupling or indirect coupling (in other words: coupling without direct contact) may be provided.
The terms “and” and “or” herein may be understood to mean “and/or” as including either or both of two stated possibilities.
While the present disclosure has been particularly shown and described with reference to specific aspects, it should be understood by those skilled in the art that various changes in form and detail may be made therein without departing from the spirit and scope of the present disclosure as defined by the appended claims. The scope of the present disclosure is thus indicated by the appended claims and all changes which come within the meaning and range of equivalency of the claims are therefore intended to be embraced.
Claims
1. A lens system comprising:
- a single LED;
- a first lens and a second lens, wherein the first and second lenses are aligned along a central optical axis;
- a housing;
- an aperture positioned within the housing,
- wherein the lens system is configured to provide an illuminated plane having a uniform or flat field illumination profile in a region of interest;
- wherein a first distance between the single LED and a portion of the first lens that is closest to the single LED is greater than or equal to one-third of an effective focal length of the lens system and less than or equal to the effective focal length of the lens system;
- wherein the first lens comprises a first side closest to the single LED and a second side opposite the first side;
- wherein the second lens comprises a third side closest to the single LED and a fourth side opposite the third side; and
- wherein each of the second side and the third side is convex and spherical.
2. The lens system of claim 1, wherein the first and second lenses are selectively paired and positioned in the housing to project a light output that is parallel or non-divergent.
3. The lens system of claim 1, wherein the LED is positioned orthogonally on the central optic axis of the first and second lenses to provide symmetrical rays.
4. The lens system of claim 1, wherein the LED is positioned at an angle about the central optic axis of the first and second lenses to provide asymmetrical rays.
5. The lens system of claim 1, wherein the LED is provided a cross-sectional size that is less than 1/10 of a cross-sectional size of the aperture.
6. The lens system of claim 1, wherein a distance between the second side at the central optical axis and the third side at the central optical axis is greater than 0.
7. A method comprising:
- providing a single light source having a selected size of less than 1/10 of a cross-sectional size of an aperture and power;
- providing a first lens and a second lens that are aligned along a central optical axis and positioned at a pre-determined distance from the single light source, wherein the first and second lenses are selectively paired, based on their physical and optical characteristics, to project a light output that is parallel or non-divergent;
- generating light from the single light source that passes through the first lens and then the second lens;
- determining a location of an illuminated plane, wherein the illumination plane is positioned a specified distance from a proximal surface of the second lens to produce a uniform or flat field illumination profile;
- wherein the first lens comprises a first side closest to the single LED and a second side opposite the first side;
- wherein the second lens comprises a third side closest to the single LED and a fourth side opposite the third side; and
- wherein each of the second side and the third side is convex and spherical.
8. The method of claim 7, further comprising providing an aperture between the single light source and the first and second lenses.
9. The method of claim 8, further comprising determining a maximum size for the aperture.
10. The method of claim 7, further comprising determining a separation distance between the first lens and the second lens.
11. The method of claim 7, wherein determining the location of the illuminated plane further comprises adjusting the illumination plane to produce a flat-field illumination profile.
12. A lens system comprising:
- a single light source configured to have a size of less than 1/10 of a cross-sectional size of an aperture;
- a first lens and a second lens that are selectively paired to project a light output that is parallel or non-divergent; and
- a housing,
- wherein the lens system is configured to provide an illuminated plane having a uniform or flat field illumination profile in a region of interest;
- wherein the first lens comprises a first side closest to the single LED and a second side opposite the first side;
- wherein the second lens comprises a third side closest to the single LED and a fourth side opposite the third side; and
- wherein each of the second side and the third side is convex and spherical.
13. The lens system of claim 12, further comprising an aperture positioned within the housing.
14. The lens system of claim 12, wherein the single light source comprises a reflective diffuser and an external light source.
15. The lens system of claim 14, wherein the external light source comprises a fiber bundle coupled to and combining multiple LEDs.
16. The lens system of claim 15, wherein the fiber bundle coupled to multiple LEDs provides an output beam that passes through additional collimating and focusing lenses.
17. The lens system of claim 14, wherein the external single light source comprises a liquid light guide coupled to and combining multiple LEDs.
18. The lens system of claim 17, wherein the liquid light guide coupled to multiple LEDs provides an output beam that passes through additional collimating and focusing lenses.
19. The lens system of claim 18, wherein the multiple LEDs comprise a multi-wavelength light engine.
| 6079861 | June 27, 2000 | Woodward |
| 7618162 | November 17, 2009 | Parkyn |
| 8047684 | November 1, 2011 | Chang |
| 8596815 | December 3, 2013 | Lee et al. |
| 20040246744 | December 9, 2004 | Krupa |
| 20070051883 | March 8, 2007 | Rains |
| 20120243215 | September 27, 2012 | Jurik |
| 20150168738 | June 18, 2015 | Manni |
| 20170184291 | June 29, 2017 | Chern |
| 20200149706 | May 14, 2020 | Khosla |
| 20210190291 | June 24, 2021 | Huang |
| 2015025028 | February 2015 | WO |
- Guangjun Gao, Lin Li, and Yifan Huang, “Using spherical aberrations of a singlet lens to get a uniform LED illumination,” Proceedings of SPIE, vol. 5638, Optical Design and Testing II, Feb. 10, 2005, pp. 551-560.
- Ronian Siew and Li Hao Tan, Advanced Products Corporation, “Top Hat Illumination Provides Even Light Distribution Across Samples”, Photonics Media, BioPhotonics Jan./Feb. 2023, pp. 32-37.
- Ronian Siew, “Uniform Illumination using Spherical Lenses,” Figshare, 2020, pp. 1/4-4/4.
- Ronian Siew, “Uniform Top Hat Illumination for Extended Sources Using Only Spherical Lenses,” Inopticalsolutions, White Paper, Nov. 14, 2020, pp. 1/6-6/6.
- Spectralon Diffuse Reflectance Standards, LabSphere, https://www.labsphere.com/product/spectralon-diffuse-reflectance-standards/#:˜:text=Spectralon's%20reflectance%20is%20generally%20%3E99,gray%20scale%20standards%20and%20targets.
Type: Grant
Filed: Nov 3, 2023
Date of Patent: Jan 20, 2026
Patent Publication Number: 20240288147
Assignee: Advanced Products Corporation, Pte. Ltd. (Singapore)
Inventors: Ronian Siew (Vancouver), Li hao Tan (Singapore)
Primary Examiner: Bryon T Gyllstrom
Application Number: 18/501,922
International Classification: F21V 9/40 (20180101); F21V 5/00 (20180101); F21V 5/04 (20060101); F21V 7/00 (20060101); F21V 8/00 (20060101); F21Y 113/13 (20160101); F21Y 115/10 (20160101);